What is the Greatest Common Factor of 96152 and 96168?

Greatest common factor (GCF) of 96152 and 96168 is 8.

GCF(96152,96168) = 8

We will now calculate the prime factors of 96152 and 96168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96152 and 96168.

How to find the GCF of 96152 and 96168?

We will first find the prime factorization of 96152 and 96168. After we will calculate the factors of 96152 and 96168 and find the biggest common factor number .

Step-1: Prime Factorization of 96152

Prime factors of 96152 are 2, 7, 17, 101. Prime factorization of 96152 in exponential form is:

96152 = 2³ × 7¹ × 17¹ × 101¹

Step-2: Prime Factorization of 96168

Prime factors of 96168 are 2, 3, 4007. Prime factorization of 96168 in exponential form is:

96168 = 2³ × 3¹ × 4007¹

Step-3: Factors of 96152

List of positive integer factors of 96152 that divides 96152 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 101, 119, 136, 202, 238, 404, 476, 707, 808, 952, 1414, 1717, 2828, 3434, 5656, 6868, 12019, 13736, 24038, 48076

Step-4: Factors of 96168

List of positive integer factors of 96168 that divides 96152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4007, 8014, 12021, 16028, 24042, 32056, 48084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96152 and 96168. The biggest common factor number is the GCF number.
So the greatest common factor 96152 and 96168 is 8.

Also check out the Least Common Multiple of 96152 and 96168